Answer:
u = -5/9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-3(u + 2) = 5u - 1 + 5(2u + 1)
<u>Step 2: Solve for </u><em><u>u</u></em>
- Distribute: -3u - 6 = 5u - 1 + 10u + 5
- Combine like terms: -3u - 6 = 15u + 4
- Add 3u to both sides: -6 = 18u + 4
- Subtract 4 on both sides: -10 = 18u
- Divide 18 on both sides: -10/18 = u
- Simplify: -5/9 = u
- Rewrite: u = -5/9
<u>Step 3: Check</u>
<em>Plug in u into the original equation to verify it's a solution.</em>
- Substitute in <em>u</em>: -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
- Multiply: -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
- Add: -3(13/9) = -25/9 - 1 + 5(-1/9)
- Multiply: -13/3 = -25/9 - 1 - 5/9
- Subtract: -13/3 = -34/9 - 5/9
- Subtract: -13/3 = -13/3
Here we see that -13/3 does indeed equal -13/3.
∴ u = -5/9 is a solution of the equation.
Answer: it's impossible to obtain 78
Step-by-step explanation: Since the calculator can double any number or permute its digits except 0
starting with number 1
1, 2, 4, 8, 16, 32, 64, 128
Therefore, it's impossible to obtain 78 by a series of these operations
Answer:
Subtract 6,900 from 8,500 to get the highest number of tickets that can still be sold which is 1,600.
Using substitution:
4x+2y=12
y=8x+1
4x+2(8x+1)=12
distribute
4x+16x+2=12
combine like terms
18x+2=12
subtract 2 from both sides
20x=10
divide each side by 20
x=10/20
reduce
x=1/2
plug in x for the y= equation
y=8(1/2)+1
multiply
y=4+1
add
y=5
answer:
(1/2,5)
Answer: 
Step by step:

(Used a table of common angles)